berechne 9 12tel mal 9 12tel

$$\left({\frac{{\mathtt{9}}}{{\mathtt{12}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{9}}}{{\mathtt{12}}}}\right) = {\frac{\left({\mathtt{9}}{\mathtt{\,\times\,}}{\mathtt{9}}\right)}{\left({\mathtt{12}}{\mathtt{\,\times\,}}{\mathtt{12}}\right)}}$$         nun kannst du kürzen

 =>  $${\frac{{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{3}}}{\left({\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{4}}\right)}} = {\frac{{\mathtt{9}}}{{\mathtt{16}}}}$$

    Kurzfassung:     $$\left({\frac{{\mathtt{9}}}{{\mathtt{12}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{9}}}{{\mathtt{12}}}}\right) = {\frac{{\mathtt{9}}}{{\mathtt{16}}}} = {\mathtt{0.562\: \!5}}$$

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Gruß radix !